What is the Least Common Multiple of 61070 and 61075?

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 61070 and 61075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61070 and 61075, than apply into the LCM equation.

GCF(61070,61075) = 5
LCM(61070,61075) = ( 61070 × 61075) / 5
LCM(61070,61075) = 3729850250 / 5
LCM(61070,61075) = 745970050

Least Common Multiple (LCM) of 61070 and 61075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61070 and 61075. First we will calculate the prime factors of 61070 and 61075.

Prime Factorization of 61070

Prime Factorization of 61075

Now multiplying the highest exponent prime factors to calculate the LCM of 61070 and 61075.

LCM(61070,61075) = 2¹ × 5² × 31¹ × 197¹ × 7¹ × 349¹
LCM(61070,61075) = 745970050