What is the Least Common Multiple of 80492 and 80503?

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 80492 and 80503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80492 and 80503, than apply into the LCM equation.

GCF(80492,80503) = 1
LCM(80492,80503) = ( 80492 × 80503) / 1
LCM(80492,80503) = 6479847476 / 1
LCM(80492,80503) = 6479847476

Least Common Multiple (LCM) of 80492 and 80503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80492 and 80503. First we will calculate the prime factors of 80492 and 80503.

Prime Factorization of 80492

Prime Factorization of 80503

Now multiplying the highest exponent prime factors to calculate the LCM of 80492 and 80503.

LCM(80492,80503) = 2² × 20123¹ × 19² × 223¹
LCM(80492,80503) = 6479847476