What is the Least Common Multiple of 44417 and 44437?

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 44417 and 44437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44417 and 44437, than apply into the LCM equation.

GCF(44417,44437) = 1
LCM(44417,44437) = ( 44417 × 44437) / 1
LCM(44417,44437) = 1973758229 / 1
LCM(44417,44437) = 1973758229

Least Common Multiple (LCM) of 44417 and 44437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44417 and 44437. First we will calculate the prime factors of 44417 and 44437.

Prime Factorization of 44417

Prime Factorization of 44437

Now multiplying the highest exponent prime factors to calculate the LCM of 44417 and 44437.

LCM(44417,44437) = 44417¹ × 37¹ × 1201¹
LCM(44417,44437) = 1973758229