What is the Least Common Multiple of 59070 and 59081?

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 59070 and 59081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59070 and 59081, than apply into the LCM equation.

GCF(59070,59081) = 11
LCM(59070,59081) = ( 59070 × 59081) / 11
LCM(59070,59081) = 3489914670 / 11
LCM(59070,59081) = 317264970

Least Common Multiple (LCM) of 59070 and 59081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59070 and 59081. First we will calculate the prime factors of 59070 and 59081.

Prime Factorization of 59070

Prime Factorization of 59081

Now multiplying the highest exponent prime factors to calculate the LCM of 59070 and 59081.

LCM(59070,59081) = 2¹ × 3¹ × 5¹ × 11¹ × 179¹ × 41¹ × 131¹
LCM(59070,59081) = 317264970