What is the Least Common Multiple of 8926 and 8935?

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 8926 and 8935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8926 and 8935, than apply into the LCM equation.

GCF(8926,8935) = 1
LCM(8926,8935) = ( 8926 × 8935) / 1
LCM(8926,8935) = 79753810 / 1
LCM(8926,8935) = 79753810

Least Common Multiple (LCM) of 8926 and 8935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8926 and 8935. First we will calculate the prime factors of 8926 and 8935.

Prime Factorization of 8926

Prime Factorization of 8935

Now multiplying the highest exponent prime factors to calculate the LCM of 8926 and 8935.

LCM(8926,8935) = 2¹ × 4463¹ × 5¹ × 1787¹
LCM(8926,8935) = 79753810