What is the Least Common Multiple of 69660 and 69670?

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 69660 and 69670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69660 and 69670, than apply into the LCM equation.

GCF(69660,69670) = 10
LCM(69660,69670) = ( 69660 × 69670) / 10
LCM(69660,69670) = 4853212200 / 10
LCM(69660,69670) = 485321220

Least Common Multiple (LCM) of 69660 and 69670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69660 and 69670. First we will calculate the prime factors of 69660 and 69670.

Prime Factorization of 69660

Prime Factorization of 69670

Now multiplying the highest exponent prime factors to calculate the LCM of 69660 and 69670.

LCM(69660,69670) = 2² × 3⁴ × 5¹ × 43¹ × 6967¹
LCM(69660,69670) = 485321220