What is the Least Common Multiple of 74643 and 74661?

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 74643 and 74661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74643 and 74661, than apply into the LCM equation.

GCF(74643,74661) = 3
LCM(74643,74661) = ( 74643 × 74661) / 3
LCM(74643,74661) = 5572921023 / 3
LCM(74643,74661) = 1857640341

Least Common Multiple (LCM) of 74643 and 74661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74643 and 74661. First we will calculate the prime factors of 74643 and 74661.

Prime Factorization of 74643

Prime Factorization of 74661

Now multiplying the highest exponent prime factors to calculate the LCM of 74643 and 74661.

LCM(74643,74661) = 3¹ × 139¹ × 179¹ × 41¹ × 607¹
LCM(74643,74661) = 1857640341