What is the Least Common Multiple of 71604 and 71616?

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 71604 and 71616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71604 and 71616, than apply into the LCM equation.

GCF(71604,71616) = 12
LCM(71604,71616) = ( 71604 × 71616) / 12
LCM(71604,71616) = 5127992064 / 12
LCM(71604,71616) = 427332672

Least Common Multiple (LCM) of 71604 and 71616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71604 and 71616. First we will calculate the prime factors of 71604 and 71616.

Prime Factorization of 71604

Prime Factorization of 71616

Now multiplying the highest exponent prime factors to calculate the LCM of 71604 and 71616.

LCM(71604,71616) = 2⁶ × 3⁴ × 13¹ × 17¹ × 373¹
LCM(71604,71616) = 427332672