What is the Least Common Multiple of 45060 and 45070?

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 45060 and 45070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45060 and 45070, than apply into the LCM equation.

GCF(45060,45070) = 10
LCM(45060,45070) = ( 45060 × 45070) / 10
LCM(45060,45070) = 2030854200 / 10
LCM(45060,45070) = 203085420

Least Common Multiple (LCM) of 45060 and 45070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45060 and 45070. First we will calculate the prime factors of 45060 and 45070.

Prime Factorization of 45060

Prime Factorization of 45070

Now multiplying the highest exponent prime factors to calculate the LCM of 45060 and 45070.

LCM(45060,45070) = 2² × 3¹ × 5¹ × 751¹ × 4507¹
LCM(45060,45070) = 203085420