What is the Least Common Multiple of 23102 and 23107?

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 23102 and 23107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23102 and 23107, than apply into the LCM equation.

GCF(23102,23107) = 1
LCM(23102,23107) = ( 23102 × 23107) / 1
LCM(23102,23107) = 533817914 / 1
LCM(23102,23107) = 533817914

Least Common Multiple (LCM) of 23102 and 23107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23102 and 23107. First we will calculate the prime factors of 23102 and 23107.

Prime Factorization of 23102

Prime Factorization of 23107

Now multiplying the highest exponent prime factors to calculate the LCM of 23102 and 23107.

LCM(23102,23107) = 2¹ × 11551¹ × 7¹ × 3301¹
LCM(23102,23107) = 533817914