What is the Least Common Multiple of 45019 and 45026?

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 45019 and 45026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45019 and 45026, than apply into the LCM equation.

GCF(45019,45026) = 1
LCM(45019,45026) = ( 45019 × 45026) / 1
LCM(45019,45026) = 2027025494 / 1
LCM(45019,45026) = 2027025494

Least Common Multiple (LCM) of 45019 and 45026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45019 and 45026. First we will calculate the prime factors of 45019 and 45026.

Prime Factorization of 45019

Prime Factorization of 45026

Now multiplying the highest exponent prime factors to calculate the LCM of 45019 and 45026.

LCM(45019,45026) = 13¹ × 3463¹ × 2¹ × 47¹ × 479¹
LCM(45019,45026) = 2027025494