What is the Least Common Multiple of 70614 and 70624?

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 70614 and 70624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70614 and 70624, than apply into the LCM equation.

GCF(70614,70624) = 2
LCM(70614,70624) = ( 70614 × 70624) / 2
LCM(70614,70624) = 4987043136 / 2
LCM(70614,70624) = 2493521568

Least Common Multiple (LCM) of 70614 and 70624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70614 and 70624. First we will calculate the prime factors of 70614 and 70624.

Prime Factorization of 70614

Prime Factorization of 70624

Now multiplying the highest exponent prime factors to calculate the LCM of 70614 and 70624.

LCM(70614,70624) = 2⁵ × 3² × 3923¹ × 2207¹
LCM(70614,70624) = 2493521568