What is the Least Common Multiple of 34986 and 34992?

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 34986 and 34992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34986 and 34992, than apply into the LCM equation.

GCF(34986,34992) = 6
LCM(34986,34992) = ( 34986 × 34992) / 6
LCM(34986,34992) = 1224230112 / 6
LCM(34986,34992) = 204038352

Least Common Multiple (LCM) of 34986 and 34992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34986 and 34992. First we will calculate the prime factors of 34986 and 34992.

Prime Factorization of 34986

Prime Factorization of 34992

Now multiplying the highest exponent prime factors to calculate the LCM of 34986 and 34992.

LCM(34986,34992) = 2⁴ × 3⁷ × 7³ × 17¹
LCM(34986,34992) = 204038352