What is the Least Common Multiple of 36060 and 36070?

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 36060 and 36070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36060 and 36070, than apply into the LCM equation.

GCF(36060,36070) = 10
LCM(36060,36070) = ( 36060 × 36070) / 10
LCM(36060,36070) = 1300684200 / 10
LCM(36060,36070) = 130068420

Least Common Multiple (LCM) of 36060 and 36070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36060 and 36070. First we will calculate the prime factors of 36060 and 36070.

Prime Factorization of 36060

Prime Factorization of 36070

Now multiplying the highest exponent prime factors to calculate the LCM of 36060 and 36070.

LCM(36060,36070) = 2² × 3¹ × 5¹ × 601¹ × 3607¹
LCM(36060,36070) = 130068420