What is the Least Common Multiple of 60832 and 60851?
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 60832 and 60851 is 3701688032.
LCM(60832,60851) = 3701688032
Least Common Multiple of 60832 and 60851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60832 and 60851, than apply into the LCM equation.
GCF(60832,60851) = 1
LCM(60832,60851) = ( 60832 × 60851) / 1
LCM(60832,60851) = 3701688032 / 1
LCM(60832,60851) = 3701688032
Least Common Multiple (LCM) of 60832 and 60851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60832 and 60851. First we will calculate the prime factors of 60832 and 60851.
Prime Factorization of 60832
Prime factors of 60832 are 2, 1901. Prime factorization of 60832 in exponential form is:
60832 = 25 × 19011
Prime Factorization of 60851
Prime factors of 60851 are 7, 8693. Prime factorization of 60851 in exponential form is:
60851 = 71 × 86931
Now multiplying the highest exponent prime factors to calculate the LCM of 60832 and 60851.
LCM(60832,60851) = 25 × 19011 × 71 × 86931
LCM(60832,60851) = 3701688032
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