What is the Least Common Multiple of 34920 and 34940?

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 34920 and 34940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34920 and 34940, than apply into the LCM equation.

GCF(34920,34940) = 20
LCM(34920,34940) = ( 34920 × 34940) / 20
LCM(34920,34940) = 1220104800 / 20
LCM(34920,34940) = 61005240

Least Common Multiple (LCM) of 34920 and 34940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34920 and 34940. First we will calculate the prime factors of 34920 and 34940.

Prime Factorization of 34920

Prime Factorization of 34940

Now multiplying the highest exponent prime factors to calculate the LCM of 34920 and 34940.

LCM(34920,34940) = 2³ × 3² × 5¹ × 97¹ × 1747¹
LCM(34920,34940) = 61005240