What is the Least Common Multiple of 45415 and 45421?

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 45415 and 45421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45415 and 45421, than apply into the LCM equation.

GCF(45415,45421) = 1
LCM(45415,45421) = ( 45415 × 45421) / 1
LCM(45415,45421) = 2062794715 / 1
LCM(45415,45421) = 2062794715

Least Common Multiple (LCM) of 45415 and 45421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45415 and 45421. First we will calculate the prime factors of 45415 and 45421.

Prime Factorization of 45415

Prime Factorization of 45421

Now multiplying the highest exponent prime factors to calculate the LCM of 45415 and 45421.

LCM(45415,45421) = 5¹ × 31¹ × 293¹ × 53¹ × 857¹
LCM(45415,45421) = 2062794715