What is the Least Common Multiple of 41992 and 42008?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 41992 and 42008 is 220499992.
LCM(41992,42008) = 220499992
Least Common Multiple of 41992 and 42008 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41992 and 42008, than apply into the LCM equation.
GCF(41992,42008) = 8
LCM(41992,42008) = ( 41992 × 42008) / 8
LCM(41992,42008) = 1763999936 / 8
LCM(41992,42008) = 220499992
Least Common Multiple (LCM) of 41992 and 42008 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41992 and 42008. First we will calculate the prime factors of 41992 and 42008.
Prime Factorization of 41992
Prime factors of 41992 are 2, 29, 181. Prime factorization of 41992 in exponential form is:
41992 = 23 × 291 × 1811
Prime Factorization of 42008
Prime factors of 42008 are 2, 59, 89. Prime factorization of 42008 in exponential form is:
42008 = 23 × 591 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 41992 and 42008.
LCM(41992,42008) = 23 × 291 × 1811 × 591 × 891
LCM(41992,42008) = 220499992
Related Least Common Multiples of 41992
- LCM of 41992 and 41996
- LCM of 41992 and 41997
- LCM of 41992 and 41998
- LCM of 41992 and 41999
- LCM of 41992 and 42000
- LCM of 41992 and 42001
- LCM of 41992 and 42002
- LCM of 41992 and 42003
- LCM of 41992 and 42004
- LCM of 41992 and 42005
- LCM of 41992 and 42006
- LCM of 41992 and 42007
- LCM of 41992 and 42008
- LCM of 41992 and 42009
- LCM of 41992 and 42010
- LCM of 41992 and 42011
- LCM of 41992 and 42012
Related Least Common Multiples of 42008
- LCM of 42008 and 42012
- LCM of 42008 and 42013
- LCM of 42008 and 42014
- LCM of 42008 and 42015
- LCM of 42008 and 42016
- LCM of 42008 and 42017
- LCM of 42008 and 42018
- LCM of 42008 and 42019
- LCM of 42008 and 42020
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