What is the Least Common Multiple of 39945 and 39964?

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 39945 and 39964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39945 and 39964, than apply into the LCM equation.

GCF(39945,39964) = 1
LCM(39945,39964) = ( 39945 × 39964) / 1
LCM(39945,39964) = 1596361980 / 1
LCM(39945,39964) = 1596361980

Least Common Multiple (LCM) of 39945 and 39964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39945 and 39964. First we will calculate the prime factors of 39945 and 39964.

Prime Factorization of 39945

Prime Factorization of 39964

Now multiplying the highest exponent prime factors to calculate the LCM of 39945 and 39964.

LCM(39945,39964) = 3¹ × 5¹ × 2663¹ × 2² × 97¹ × 103¹
LCM(39945,39964) = 1596361980