What is the Least Common Multiple of 94959 and 94965?

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 94959 and 94965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94959 and 94965, than apply into the LCM equation.

GCF(94959,94965) = 3
LCM(94959,94965) = ( 94959 × 94965) / 3
LCM(94959,94965) = 9017781435 / 3
LCM(94959,94965) = 3005927145

Least Common Multiple (LCM) of 94959 and 94965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94959 and 94965. First we will calculate the prime factors of 94959 and 94965.

Prime Factorization of 94959

Prime Factorization of 94965

Now multiplying the highest exponent prime factors to calculate the LCM of 94959 and 94965.

LCM(94959,94965) = 3³ × 3517¹ × 5¹ × 13¹ × 487¹
LCM(94959,94965) = 3005927145