What is the Least Common Multiple of 75495 and 75504?

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 75504 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 75504, than apply into the LCM equation.

GCF(75495,75504) = 3
LCM(75495,75504) = ( 75495 × 75504) / 3
LCM(75495,75504) = 5700174480 / 3
LCM(75495,75504) = 1900058160

Least Common Multiple (LCM) of 75495 and 75504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75495 and 75504. First we will calculate the prime factors of 75495 and 75504.

Prime Factorization of 75495

Prime Factorization of 75504

Now multiplying the highest exponent prime factors to calculate the LCM of 75495 and 75504.

LCM(75495,75504) = 3¹ × 5¹ × 7¹ × 719¹ × 2⁴ × 11² × 13¹
LCM(75495,75504) = 1900058160