What is the Least Common Multiple of 79489 and 79502?

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 79489 and 79502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79489 and 79502, than apply into the LCM equation.

GCF(79489,79502) = 1
LCM(79489,79502) = ( 79489 × 79502) / 1
LCM(79489,79502) = 6319534478 / 1
LCM(79489,79502) = 6319534478

Least Common Multiple (LCM) of 79489 and 79502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79489 and 79502. First we will calculate the prime factors of 79489 and 79502.

Prime Factorization of 79489

Prime Factorization of 79502

Now multiplying the highest exponent prime factors to calculate the LCM of 79489 and 79502.

LCM(79489,79502) = 29¹ × 2741¹ × 2¹ × 127¹ × 313¹
LCM(79489,79502) = 6319534478