What is the Least Common Multiple of 74656 and 74670?

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 74656 and 74670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74656 and 74670, than apply into the LCM equation.

GCF(74656,74670) = 2
LCM(74656,74670) = ( 74656 × 74670) / 2
LCM(74656,74670) = 5574563520 / 2
LCM(74656,74670) = 2787281760

Least Common Multiple (LCM) of 74656 and 74670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74656 and 74670. First we will calculate the prime factors of 74656 and 74670.

Prime Factorization of 74656

Prime Factorization of 74670

Now multiplying the highest exponent prime factors to calculate the LCM of 74656 and 74670.

LCM(74656,74670) = 2⁵ × 2333¹ × 3¹ × 5¹ × 19¹ × 131¹
LCM(74656,74670) = 2787281760