What is the Least Common Multiple of 75495 and 75502?

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 75495 and 75502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75495 and 75502, than apply into the LCM equation.

GCF(75495,75502) = 7
LCM(75495,75502) = ( 75495 × 75502) / 7
LCM(75495,75502) = 5700023490 / 7
LCM(75495,75502) = 814289070

Least Common Multiple (LCM) of 75495 and 75502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75495 and 75502. First we will calculate the prime factors of 75495 and 75502.

Prime Factorization of 75495

Prime Factorization of 75502

Now multiplying the highest exponent prime factors to calculate the LCM of 75495 and 75502.

LCM(75495,75502) = 3¹ × 5¹ × 7¹ × 719¹ × 2¹ × 5393¹
LCM(75495,75502) = 814289070