What is the Least Common Multiple of 76628 and 76633?

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 76628 and 76633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76628 and 76633, than apply into the LCM equation.

GCF(76628,76633) = 1
LCM(76628,76633) = ( 76628 × 76633) / 1
LCM(76628,76633) = 5872233524 / 1
LCM(76628,76633) = 5872233524

Least Common Multiple (LCM) of 76628 and 76633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76628 and 76633. First we will calculate the prime factors of 76628 and 76633.

Prime Factorization of 76628

Prime Factorization of 76633

Now multiplying the highest exponent prime factors to calculate the LCM of 76628 and 76633.

LCM(76628,76633) = 2² × 19157¹ × 197¹ × 389¹
LCM(76628,76633) = 5872233524