What is the Least Common Multiple of 54688 and 54702?

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 54688 and 54702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54688 and 54702, than apply into the LCM equation.

GCF(54688,54702) = 2
LCM(54688,54702) = ( 54688 × 54702) / 2
LCM(54688,54702) = 2991542976 / 2
LCM(54688,54702) = 1495771488

Least Common Multiple (LCM) of 54688 and 54702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54688 and 54702. First we will calculate the prime factors of 54688 and 54702.

Prime Factorization of 54688

Prime Factorization of 54702

Now multiplying the highest exponent prime factors to calculate the LCM of 54688 and 54702.

LCM(54688,54702) = 2⁵ × 1709¹ × 3³ × 1013¹
LCM(54688,54702) = 1495771488