What is the Least Common Multiple of 71656 and 71672?

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 71656 and 71672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71656 and 71672, than apply into the LCM equation.

GCF(71656,71672) = 8
LCM(71656,71672) = ( 71656 × 71672) / 8
LCM(71656,71672) = 5135728832 / 8
LCM(71656,71672) = 641966104

Least Common Multiple (LCM) of 71656 and 71672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71656 and 71672. First we will calculate the prime factors of 71656 and 71672.

Prime Factorization of 71656

Prime Factorization of 71672

Now multiplying the highest exponent prime factors to calculate the LCM of 71656 and 71672.

LCM(71656,71672) = 2³ × 13² × 53¹ × 17² × 31¹
LCM(71656,71672) = 641966104