What is the Least Common Multiple of 69648 and 69668?

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 69668 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 69668, than apply into the LCM equation.

GCF(69648,69668) = 4
LCM(69648,69668) = ( 69648 × 69668) / 4
LCM(69648,69668) = 4852236864 / 4
LCM(69648,69668) = 1213059216

Least Common Multiple (LCM) of 69648 and 69668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69648 and 69668. First we will calculate the prime factors of 69648 and 69668.

Prime Factorization of 69648

Prime Factorization of 69668

Now multiplying the highest exponent prime factors to calculate the LCM of 69648 and 69668.

LCM(69648,69668) = 2⁴ × 3¹ × 1451¹ × 17417¹
LCM(69648,69668) = 1213059216