What is the Least Common Multiple of 66608 and 66624?

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 66608 and 66624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66608 and 66624, than apply into the LCM equation.

GCF(66608,66624) = 16
LCM(66608,66624) = ( 66608 × 66624) / 16
LCM(66608,66624) = 4437691392 / 16
LCM(66608,66624) = 277355712

Least Common Multiple (LCM) of 66608 and 66624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66608 and 66624. First we will calculate the prime factors of 66608 and 66624.

Prime Factorization of 66608

Prime Factorization of 66624

Now multiplying the highest exponent prime factors to calculate the LCM of 66608 and 66624.

LCM(66608,66624) = 2⁶ × 23¹ × 181¹ × 3¹ × 347¹
LCM(66608,66624) = 277355712