What is the Least Common Multiple of 44961 and 44980?

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 44961 and 44980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44961 and 44980, than apply into the LCM equation.

GCF(44961,44980) = 1
LCM(44961,44980) = ( 44961 × 44980) / 1
LCM(44961,44980) = 2022345780 / 1
LCM(44961,44980) = 2022345780

Least Common Multiple (LCM) of 44961 and 44980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44961 and 44980. First we will calculate the prime factors of 44961 and 44980.

Prime Factorization of 44961

Prime Factorization of 44980

Now multiplying the highest exponent prime factors to calculate the LCM of 44961 and 44980.

LCM(44961,44980) = 3¹ × 7¹ × 2141¹ × 2² × 5¹ × 13¹ × 173¹
LCM(44961,44980) = 2022345780