GCF and LCM Calculator Logo

What is the Least Common Multiple of 45070 and 45085?

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 (LCM) of 45070 and 45085 is 406396190.

LCM(45070,45085) = 406396190

LCM Calculator and
and

Least Common Multiple of 45070 and 45085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45070 and 45085, than apply into the LCM equation.

GCF(45070,45085) = 5
LCM(45070,45085) = ( 45070 × 45085) / 5
LCM(45070,45085) = 2031980950 / 5
LCM(45070,45085) = 406396190

Least Common Multiple (LCM) of 45070 and 45085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45070 and 45085. First we will calculate the prime factors of 45070 and 45085.

Prime Factorization of 45070

Prime factors of 45070 are 2, 5, 4507. Prime factorization of 45070 in exponential form is:

45070 = 21 × 51 × 45071

Prime Factorization of 45085

Prime factors of 45085 are 5, 71, 127. Prime factorization of 45085 in exponential form is:

45085 = 51 × 711 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 45070 and 45085.

LCM(45070,45085) = 21 × 51 × 45071 × 711 × 1271
LCM(45070,45085) = 406396190