What is the Least Common Multiple of 8974 and 8980?

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 8974 and 8980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8974 and 8980, than apply into the LCM equation.

GCF(8974,8980) = 2
LCM(8974,8980) = ( 8974 × 8980) / 2
LCM(8974,8980) = 80586520 / 2
LCM(8974,8980) = 40293260

Least Common Multiple (LCM) of 8974 and 8980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8974 and 8980. First we will calculate the prime factors of 8974 and 8980.

Prime Factorization of 8974

Prime Factorization of 8980

Now multiplying the highest exponent prime factors to calculate the LCM of 8974 and 8980.

LCM(8974,8980) = 2² × 7¹ × 641¹ × 5¹ × 449¹
LCM(8974,8980) = 40293260