What is the Least Common Multiple of 45420 and 45430?

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 45420 and 45430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45420 and 45430, than apply into the LCM equation.

GCF(45420,45430) = 10
LCM(45420,45430) = ( 45420 × 45430) / 10
LCM(45420,45430) = 2063430600 / 10
LCM(45420,45430) = 206343060

Least Common Multiple (LCM) of 45420 and 45430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45420 and 45430. First we will calculate the prime factors of 45420 and 45430.

Prime Factorization of 45420

Prime Factorization of 45430

Now multiplying the highest exponent prime factors to calculate the LCM of 45420 and 45430.

LCM(45420,45430) = 2² × 3¹ × 5¹ × 757¹ × 7¹ × 11¹ × 59¹
LCM(45420,45430) = 206343060