What is the Least Common Multiple of 45409 and 45429?

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 45409 and 45429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45409 and 45429, than apply into the LCM equation.

GCF(45409,45429) = 1
LCM(45409,45429) = ( 45409 × 45429) / 1
LCM(45409,45429) = 2062885461 / 1
LCM(45409,45429) = 2062885461

Least Common Multiple (LCM) of 45409 and 45429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45409 and 45429. First we will calculate the prime factors of 45409 and 45429.

Prime Factorization of 45409

Prime Factorization of 45429

Now multiplying the highest exponent prime factors to calculate the LCM of 45409 and 45429.

LCM(45409,45429) = 7¹ × 13¹ × 499¹ × 3¹ × 19¹ × 797¹
LCM(45409,45429) = 2062885461