What is the Least Common Multiple of 89102 and 89107?

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 of 89102 and 89107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89102 and 89107, than apply into the LCM equation.

GCF(89102,89107) = 1
LCM(89102,89107) = ( 89102 × 89107) / 1
LCM(89102,89107) = 7939611914 / 1
LCM(89102,89107) = 7939611914

Least Common Multiple (LCM) of 89102 and 89107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89102 and 89107. First we will calculate the prime factors of 89102 and 89107.

Prime Factorization of 89102

Prime Factorization of 89107

Now multiplying the highest exponent prime factors to calculate the LCM of 89102 and 89107.

LCM(89102,89107) = 2¹ × 13¹ × 23¹ × 149¹ × 89107¹
LCM(89102,89107) = 7939611914