What is the Least Common Multiple of 62688 and 62703?

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 62688 and 62703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62688 and 62703, than apply into the LCM equation.

GCF(62688,62703) = 3
LCM(62688,62703) = ( 62688 × 62703) / 3
LCM(62688,62703) = 3930725664 / 3
LCM(62688,62703) = 1310241888

Least Common Multiple (LCM) of 62688 and 62703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62688 and 62703. First we will calculate the prime factors of 62688 and 62703.

Prime Factorization of 62688

Prime Factorization of 62703

Now multiplying the highest exponent prime factors to calculate the LCM of 62688 and 62703.

LCM(62688,62703) = 2⁵ × 3² × 653¹ × 6967¹
LCM(62688,62703) = 1310241888