What is the Least Common Multiple of 96974 and 96980?

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 96974 and 96980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96974 and 96980, than apply into the LCM equation.

GCF(96974,96980) = 2
LCM(96974,96980) = ( 96974 × 96980) / 2
LCM(96974,96980) = 9404538520 / 2
LCM(96974,96980) = 4702269260

Least Common Multiple (LCM) of 96974 and 96980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96974 and 96980. First we will calculate the prime factors of 96974 and 96980.

Prime Factorization of 96974

Prime Factorization of 96980

Now multiplying the highest exponent prime factors to calculate the LCM of 96974 and 96980.

LCM(96974,96980) = 2² × 48487¹ × 5¹ × 13¹ × 373¹
LCM(96974,96980) = 4702269260