What is the Least Common Multiple of 75480 and 75492?

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 75480 and 75492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75480 and 75492, than apply into the LCM equation.

GCF(75480,75492) = 12
LCM(75480,75492) = ( 75480 × 75492) / 12
LCM(75480,75492) = 5698136160 / 12
LCM(75480,75492) = 474844680

Least Common Multiple (LCM) of 75480 and 75492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75480 and 75492. First we will calculate the prime factors of 75480 and 75492.

Prime Factorization of 75480

Prime Factorization of 75492

Now multiplying the highest exponent prime factors to calculate the LCM of 75480 and 75492.

LCM(75480,75492) = 2³ × 3⁴ × 5¹ × 17¹ × 37¹ × 233¹
LCM(75480,75492) = 474844680