What is the Least Common Multiple of 3050 and 3070?

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 3050 and 3070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3050 and 3070, than apply into the LCM equation.

GCF(3050,3070) = 10
LCM(3050,3070) = ( 3050 × 3070) / 10
LCM(3050,3070) = 9363500 / 10
LCM(3050,3070) = 936350

Least Common Multiple (LCM) of 3050 and 3070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3050 and 3070. First we will calculate the prime factors of 3050 and 3070.

Prime Factorization of 3050

Prime Factorization of 3070

Now multiplying the highest exponent prime factors to calculate the LCM of 3050 and 3070.

LCM(3050,3070) = 2¹ × 5² × 61¹ × 307¹
LCM(3050,3070) = 936350