What is the Least Common Multiple of 44255 and 44265?

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 44255 and 44265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44255 and 44265, than apply into the LCM equation.

GCF(44255,44265) = 5
LCM(44255,44265) = ( 44255 × 44265) / 5
LCM(44255,44265) = 1958947575 / 5
LCM(44255,44265) = 391789515

Least Common Multiple (LCM) of 44255 and 44265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44255 and 44265. First we will calculate the prime factors of 44255 and 44265.

Prime Factorization of 44255

Prime Factorization of 44265

Now multiplying the highest exponent prime factors to calculate the LCM of 44255 and 44265.

LCM(44255,44265) = 5¹ × 53¹ × 167¹ × 3¹ × 13¹ × 227¹
LCM(44255,44265) = 391789515