What is the Least Common Multiple of 39930 and 39945?

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 39930 and 39945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39930 and 39945, than apply into the LCM equation.

GCF(39930,39945) = 15
LCM(39930,39945) = ( 39930 × 39945) / 15
LCM(39930,39945) = 1595003850 / 15
LCM(39930,39945) = 106333590

Least Common Multiple (LCM) of 39930 and 39945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39930 and 39945. First we will calculate the prime factors of 39930 and 39945.

Prime Factorization of 39930

Prime Factorization of 39945

Now multiplying the highest exponent prime factors to calculate the LCM of 39930 and 39945.

LCM(39930,39945) = 2¹ × 3¹ × 5¹ × 11³ × 2663¹
LCM(39930,39945) = 106333590