What is the Least Common Multiple of 76050 and 76059?

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 76050 and 76059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76050 and 76059, than apply into the LCM equation.

GCF(76050,76059) = 9
LCM(76050,76059) = ( 76050 × 76059) / 9
LCM(76050,76059) = 5784286950 / 9
LCM(76050,76059) = 642698550

Least Common Multiple (LCM) of 76050 and 76059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76050 and 76059. First we will calculate the prime factors of 76050 and 76059.

Prime Factorization of 76050

Prime Factorization of 76059

Now multiplying the highest exponent prime factors to calculate the LCM of 76050 and 76059.

LCM(76050,76059) = 2¹ × 3⁵ × 5² × 13² × 313¹
LCM(76050,76059) = 642698550