What is the Least Common Multiple of 60931 and 60937?
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 60931 and 60937 is 3712952347.
LCM(60931,60937) = 3712952347
Least Common Multiple of 60931 and 60937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60931 and 60937, than apply into the LCM equation.
GCF(60931,60937) = 1
LCM(60931,60937) = ( 60931 × 60937) / 1
LCM(60931,60937) = 3712952347 / 1
LCM(60931,60937) = 3712952347
Least Common Multiple (LCM) of 60931 and 60937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60931 and 60937. First we will calculate the prime factors of 60931 and 60937.
Prime Factorization of 60931
Prime factors of 60931 are 13, 43, 109. Prime factorization of 60931 in exponential form is:
60931 = 131 × 431 × 1091
Prime Factorization of 60937
Prime factors of 60937 are 60937. Prime factorization of 60937 in exponential form is:
60937 = 609371
Now multiplying the highest exponent prime factors to calculate the LCM of 60931 and 60937.
LCM(60931,60937) = 131 × 431 × 1091 × 609371
LCM(60931,60937) = 3712952347
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