What is the Least Common Multiple of 7650 and 7670?

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 7650 and 7670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7650 and 7670, than apply into the LCM equation.

GCF(7650,7670) = 10
LCM(7650,7670) = ( 7650 × 7670) / 10
LCM(7650,7670) = 58675500 / 10
LCM(7650,7670) = 5867550

Least Common Multiple (LCM) of 7650 and 7670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7650 and 7670. First we will calculate the prime factors of 7650 and 7670.

Prime Factorization of 7650

Prime Factorization of 7670

Now multiplying the highest exponent prime factors to calculate the LCM of 7650 and 7670.

LCM(7650,7670) = 2¹ × 3² × 5² × 17¹ × 13¹ × 59¹
LCM(7650,7670) = 5867550