What is the Least Common Multiple of 66949 and 66967?
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 66949 and 66967 is 4483373683.
LCM(66949,66967) = 4483373683
Least Common Multiple of 66949 and 66967 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66949 and 66967, than apply into the LCM equation.
GCF(66949,66967) = 1
LCM(66949,66967) = ( 66949 × 66967) / 1
LCM(66949,66967) = 4483373683 / 1
LCM(66949,66967) = 4483373683
Least Common Multiple (LCM) of 66949 and 66967 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66949 and 66967. First we will calculate the prime factors of 66949 and 66967.
Prime Factorization of 66949
Prime factors of 66949 are 66949. Prime factorization of 66949 in exponential form is:
66949 = 669491
Prime Factorization of 66967
Prime factors of 66967 are 167, 401. Prime factorization of 66967 in exponential form is:
66967 = 1671 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 66949 and 66967.
LCM(66949,66967) = 669491 × 1671 × 4011
LCM(66949,66967) = 4483373683
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