What is the Least Common Multiple of 76050 and 76070?

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 76070 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 76070, than apply into the LCM equation.

GCF(76050,76070) = 10
LCM(76050,76070) = ( 76050 × 76070) / 10
LCM(76050,76070) = 5785123500 / 10
LCM(76050,76070) = 578512350

Least Common Multiple (LCM) of 76050 and 76070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76050 and 76070. First we will calculate the prime factors of 76050 and 76070.

Prime Factorization of 76050

Prime Factorization of 76070

Now multiplying the highest exponent prime factors to calculate the LCM of 76050 and 76070.

LCM(76050,76070) = 2¹ × 3² × 5² × 13² × 7607¹
LCM(76050,76070) = 578512350