What is the Least Common Multiple of 44202 and 44215?

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 44202 and 44215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44202 and 44215, than apply into the LCM equation.

GCF(44202,44215) = 1
LCM(44202,44215) = ( 44202 × 44215) / 1
LCM(44202,44215) = 1954391430 / 1
LCM(44202,44215) = 1954391430

Least Common Multiple (LCM) of 44202 and 44215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44202 and 44215. First we will calculate the prime factors of 44202 and 44215.

Prime Factorization of 44202

Prime Factorization of 44215

Now multiplying the highest exponent prime factors to calculate the LCM of 44202 and 44215.

LCM(44202,44215) = 2¹ × 3¹ × 53¹ × 139¹ × 5¹ × 37¹ × 239¹
LCM(44202,44215) = 1954391430