What is the Least Common Multiple of 68608 and 68624?

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 68608 and 68624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68608 and 68624, than apply into the LCM equation.

GCF(68608,68624) = 16
LCM(68608,68624) = ( 68608 × 68624) / 16
LCM(68608,68624) = 4708155392 / 16
LCM(68608,68624) = 294259712

Least Common Multiple (LCM) of 68608 and 68624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68608 and 68624. First we will calculate the prime factors of 68608 and 68624.

Prime Factorization of 68608

Prime Factorization of 68624

Now multiplying the highest exponent prime factors to calculate the LCM of 68608 and 68624.

LCM(68608,68624) = 2¹⁰ × 67¹ × 4289¹
LCM(68608,68624) = 294259712