What is the Least Common Multiple of 74704 and 74712?

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 74704 and 74712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74704 and 74712, than apply into the LCM equation.

GCF(74704,74712) = 8
LCM(74704,74712) = ( 74704 × 74712) / 8
LCM(74704,74712) = 5581285248 / 8
LCM(74704,74712) = 697660656

Least Common Multiple (LCM) of 74704 and 74712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74704 and 74712. First we will calculate the prime factors of 74704 and 74712.

Prime Factorization of 74704

Prime Factorization of 74712

Now multiplying the highest exponent prime factors to calculate the LCM of 74704 and 74712.

LCM(74704,74712) = 2⁴ × 7¹ × 23¹ × 29¹ × 3¹ × 11¹ × 283¹
LCM(74704,74712) = 697660656