What is the Least Common Multiple of 74634 and 74652?

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 74634 and 74652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74634 and 74652, than apply into the LCM equation.

GCF(74634,74652) = 6
LCM(74634,74652) = ( 74634 × 74652) / 6
LCM(74634,74652) = 5571577368 / 6
LCM(74634,74652) = 928596228

Least Common Multiple (LCM) of 74634 and 74652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74634 and 74652. First we will calculate the prime factors of 74634 and 74652.

Prime Factorization of 74634

Prime Factorization of 74652

Now multiplying the highest exponent prime factors to calculate the LCM of 74634 and 74652.

LCM(74634,74652) = 2² × 3¹ × 7¹ × 1777¹ × 6221¹
LCM(74634,74652) = 928596228