What is the Least Common Multiple of 61050 and 61070?

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 61050 and 61070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61050 and 61070, than apply into the LCM equation.

GCF(61050,61070) = 10
LCM(61050,61070) = ( 61050 × 61070) / 10
LCM(61050,61070) = 3728323500 / 10
LCM(61050,61070) = 372832350

Least Common Multiple (LCM) of 61050 and 61070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61050 and 61070. First we will calculate the prime factors of 61050 and 61070.

Prime Factorization of 61050

Prime Factorization of 61070

Now multiplying the highest exponent prime factors to calculate the LCM of 61050 and 61070.

LCM(61050,61070) = 2¹ × 3¹ × 5² × 11¹ × 37¹ × 31¹ × 197¹
LCM(61050,61070) = 372832350