What is the Least Common Multiple of 69648 and 69652?

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 69648 and 69652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69648 and 69652, than apply into the LCM equation.

GCF(69648,69652) = 4
LCM(69648,69652) = ( 69648 × 69652) / 4
LCM(69648,69652) = 4851122496 / 4
LCM(69648,69652) = 1212780624

Least Common Multiple (LCM) of 69648 and 69652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69648 and 69652. First we will calculate the prime factors of 69648 and 69652.

Prime Factorization of 69648

Prime Factorization of 69652

Now multiplying the highest exponent prime factors to calculate the LCM of 69648 and 69652.

LCM(69648,69652) = 2⁴ × 3¹ × 1451¹ × 11¹ × 1583¹
LCM(69648,69652) = 1212780624