What is the Least Common Multiple of 49050 and 49070?

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 49050 and 49070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49050 and 49070, than apply into the LCM equation.

GCF(49050,49070) = 10
LCM(49050,49070) = ( 49050 × 49070) / 10
LCM(49050,49070) = 2406883500 / 10
LCM(49050,49070) = 240688350

Least Common Multiple (LCM) of 49050 and 49070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49050 and 49070. First we will calculate the prime factors of 49050 and 49070.

Prime Factorization of 49050

Prime Factorization of 49070

Now multiplying the highest exponent prime factors to calculate the LCM of 49050 and 49070.

LCM(49050,49070) = 2¹ × 3² × 5² × 109¹ × 7¹ × 701¹
LCM(49050,49070) = 240688350