What is the Least Common Multiple of 79514 and 79533?

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 79514 and 79533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79514 and 79533, than apply into the LCM equation.

GCF(79514,79533) = 1
LCM(79514,79533) = ( 79514 × 79533) / 1
LCM(79514,79533) = 6323986962 / 1
LCM(79514,79533) = 6323986962

Least Common Multiple (LCM) of 79514 and 79533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79514 and 79533. First we will calculate the prime factors of 79514 and 79533.

Prime Factorization of 79514

Prime Factorization of 79533

Now multiplying the highest exponent prime factors to calculate the LCM of 79514 and 79533.

LCM(79514,79533) = 2¹ × 83¹ × 479¹ × 3² × 8837¹
LCM(79514,79533) = 6323986962