What is the Least Common Multiple of 65940 and 65954?

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 65940 and 65954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65940 and 65954, than apply into the LCM equation.

GCF(65940,65954) = 14
LCM(65940,65954) = ( 65940 × 65954) / 14
LCM(65940,65954) = 4349006760 / 14
LCM(65940,65954) = 310643340

Least Common Multiple (LCM) of 65940 and 65954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65940 and 65954. First we will calculate the prime factors of 65940 and 65954.

Prime Factorization of 65940

Prime Factorization of 65954

Now multiplying the highest exponent prime factors to calculate the LCM of 65940 and 65954.

LCM(65940,65954) = 2² × 3¹ × 5¹ × 7² × 157¹ × 673¹
LCM(65940,65954) = 310643340