What is the Least Common Multiple of 39965 and 39970?

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 39965 and 39970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39965 and 39970, than apply into the LCM equation.

GCF(39965,39970) = 5
LCM(39965,39970) = ( 39965 × 39970) / 5
LCM(39965,39970) = 1597401050 / 5
LCM(39965,39970) = 319480210

Least Common Multiple (LCM) of 39965 and 39970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39965 and 39970. First we will calculate the prime factors of 39965 and 39970.

Prime Factorization of 39965

Prime Factorization of 39970

Now multiplying the highest exponent prime factors to calculate the LCM of 39965 and 39970.

LCM(39965,39970) = 5¹ × 7993¹ × 2¹ × 7¹ × 571¹
LCM(39965,39970) = 319480210