What is the Least Common Multiple of 42470 and 42489?

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 42470 and 42489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42470 and 42489, than apply into the LCM equation.

GCF(42470,42489) = 1
LCM(42470,42489) = ( 42470 × 42489) / 1
LCM(42470,42489) = 1804507830 / 1
LCM(42470,42489) = 1804507830

Least Common Multiple (LCM) of 42470 and 42489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42470 and 42489. First we will calculate the prime factors of 42470 and 42489.

Prime Factorization of 42470

Prime Factorization of 42489

Now multiplying the highest exponent prime factors to calculate the LCM of 42470 and 42489.

LCM(42470,42489) = 2¹ × 5¹ × 31¹ × 137¹ × 3² × 4721¹
LCM(42470,42489) = 1804507830