What is the Least Common Multiple of 76035 and 76050?

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 76035 and 76050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76035 and 76050, than apply into the LCM equation.

GCF(76035,76050) = 15
LCM(76035,76050) = ( 76035 × 76050) / 15
LCM(76035,76050) = 5782461750 / 15
LCM(76035,76050) = 385497450

Least Common Multiple (LCM) of 76035 and 76050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76035 and 76050. First we will calculate the prime factors of 76035 and 76050.

Prime Factorization of 76035

Prime Factorization of 76050

Now multiplying the highest exponent prime factors to calculate the LCM of 76035 and 76050.

LCM(76035,76050) = 3² × 5² × 37¹ × 137¹ × 2¹ × 13²
LCM(76035,76050) = 385497450