What is the Least Common Multiple of 30940 and 30944?

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 30940 and 30944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30940 and 30944, than apply into the LCM equation.

GCF(30940,30944) = 4
LCM(30940,30944) = ( 30940 × 30944) / 4
LCM(30940,30944) = 957407360 / 4
LCM(30940,30944) = 239351840

Least Common Multiple (LCM) of 30940 and 30944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30940 and 30944. First we will calculate the prime factors of 30940 and 30944.

Prime Factorization of 30940

Prime Factorization of 30944

Now multiplying the highest exponent prime factors to calculate the LCM of 30940 and 30944.

LCM(30940,30944) = 2⁵ × 5¹ × 7¹ × 13¹ × 17¹ × 967¹
LCM(30940,30944) = 239351840