What is the Least Common Multiple of 61075 and 61081?

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 61075 and 61081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61075 and 61081, than apply into the LCM equation.

GCF(61075,61081) = 1
LCM(61075,61081) = ( 61075 × 61081) / 1
LCM(61075,61081) = 3730522075 / 1
LCM(61075,61081) = 3730522075

Least Common Multiple (LCM) of 61075 and 61081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61075 and 61081. First we will calculate the prime factors of 61075 and 61081.

Prime Factorization of 61075

Prime Factorization of 61081

Now multiplying the highest exponent prime factors to calculate the LCM of 61075 and 61081.

LCM(61075,61081) = 5² × 7¹ × 349¹ × 17¹ × 3593¹
LCM(61075,61081) = 3730522075