What is the Least Common Multiple of 19420 and 19426?

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 19420 and 19426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19420 and 19426, than apply into the LCM equation.

GCF(19420,19426) = 2
LCM(19420,19426) = ( 19420 × 19426) / 2
LCM(19420,19426) = 377252920 / 2
LCM(19420,19426) = 188626460

Least Common Multiple (LCM) of 19420 and 19426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19420 and 19426. First we will calculate the prime factors of 19420 and 19426.

Prime Factorization of 19420

Prime Factorization of 19426

Now multiplying the highest exponent prime factors to calculate the LCM of 19420 and 19426.

LCM(19420,19426) = 2² × 5¹ × 971¹ × 11¹ × 883¹
LCM(19420,19426) = 188626460