What is the Least Common Multiple of 3052 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 3052 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 3052 and 3070, than apply into the LCM equation.

GCF(3052,3070) = 2
LCM(3052,3070) = ( 3052 × 3070) / 2
LCM(3052,3070) = 9369640 / 2
LCM(3052,3070) = 4684820

Least Common Multiple (LCM) of 3052 and 3070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3052 and 3070. First we will calculate the prime factors of 3052 and 3070.

Prime Factorization of 3052

Prime Factorization of 3070

Now multiplying the highest exponent prime factors to calculate the LCM of 3052 and 3070.

LCM(3052,3070) = 2² × 7¹ × 109¹ × 5¹ × 307¹
LCM(3052,3070) = 4684820