What is the Least Common Multiple of 94965 and 94974?

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 94965 and 94974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94965 and 94974, than apply into the LCM equation.

GCF(94965,94974) = 3
LCM(94965,94974) = ( 94965 × 94974) / 3
LCM(94965,94974) = 9019205910 / 3
LCM(94965,94974) = 3006401970

Least Common Multiple (LCM) of 94965 and 94974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94965 and 94974. First we will calculate the prime factors of 94965 and 94974.

Prime Factorization of 94965

Prime Factorization of 94974

Now multiplying the highest exponent prime factors to calculate the LCM of 94965 and 94974.

LCM(94965,94974) = 3¹ × 5¹ × 13¹ × 487¹ × 2¹ × 11¹ × 1439¹
LCM(94965,94974) = 3006401970