What is the Least Common Multiple of 86937 and 86951?
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 86937 and 86951 is 7559259087.
LCM(86937,86951) = 7559259087
Least Common Multiple of 86937 and 86951 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86937 and 86951, than apply into the LCM equation.
GCF(86937,86951) = 1
LCM(86937,86951) = ( 86937 × 86951) / 1
LCM(86937,86951) = 7559259087 / 1
LCM(86937,86951) = 7559259087
Least Common Multiple (LCM) of 86937 and 86951 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86937 and 86951. First we will calculate the prime factors of 86937 and 86951.
Prime Factorization of 86937
Prime factors of 86937 are 3, 28979. Prime factorization of 86937 in exponential form is:
86937 = 31 × 289791
Prime Factorization of 86951
Prime factors of 86951 are 86951. Prime factorization of 86951 in exponential form is:
86951 = 869511
Now multiplying the highest exponent prime factors to calculate the LCM of 86937 and 86951.
LCM(86937,86951) = 31 × 289791 × 869511
LCM(86937,86951) = 7559259087
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