What is the Least Common Multiple of 75080 and 75096?

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 75080 and 75096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75080 and 75096, than apply into the LCM equation.

GCF(75080,75096) = 8
LCM(75080,75096) = ( 75080 × 75096) / 8
LCM(75080,75096) = 5638207680 / 8
LCM(75080,75096) = 704775960

Least Common Multiple (LCM) of 75080 and 75096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75080 and 75096. First we will calculate the prime factors of 75080 and 75096.

Prime Factorization of 75080

Prime Factorization of 75096

Now multiplying the highest exponent prime factors to calculate the LCM of 75080 and 75096.

LCM(75080,75096) = 2³ × 5¹ × 1877¹ × 3² × 7¹ × 149¹
LCM(75080,75096) = 704775960