What is the Least Common Multiple of 74636 and 74641?

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 74636 and 74641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74636 and 74641, than apply into the LCM equation.

GCF(74636,74641) = 1
LCM(74636,74641) = ( 74636 × 74641) / 1
LCM(74636,74641) = 5570905676 / 1
LCM(74636,74641) = 5570905676

Least Common Multiple (LCM) of 74636 and 74641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74636 and 74641. First we will calculate the prime factors of 74636 and 74641.

Prime Factorization of 74636

Prime Factorization of 74641

Now multiplying the highest exponent prime factors to calculate the LCM of 74636 and 74641.

LCM(74636,74641) = 2² × 47¹ × 397¹ × 7¹ × 10663¹
LCM(74636,74641) = 5570905676