What is the Least Common Multiple of 30920 and 30940?

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 30920 and 30940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30920 and 30940, than apply into the LCM equation.

GCF(30920,30940) = 20
LCM(30920,30940) = ( 30920 × 30940) / 20
LCM(30920,30940) = 956664800 / 20
LCM(30920,30940) = 47833240

Least Common Multiple (LCM) of 30920 and 30940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30920 and 30940. First we will calculate the prime factors of 30920 and 30940.

Prime Factorization of 30920

Prime Factorization of 30940

Now multiplying the highest exponent prime factors to calculate the LCM of 30920 and 30940.

LCM(30920,30940) = 2³ × 5¹ × 773¹ × 7¹ × 13¹ × 17¹
LCM(30920,30940) = 47833240