What is the Least Common Multiple of 71946 and 71960?

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 71946 and 71960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71946 and 71960, than apply into the LCM equation.

GCF(71946,71960) = 14
LCM(71946,71960) = ( 71946 × 71960) / 14
LCM(71946,71960) = 5177234160 / 14
LCM(71946,71960) = 369802440

Least Common Multiple (LCM) of 71946 and 71960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71946 and 71960. First we will calculate the prime factors of 71946 and 71960.

Prime Factorization of 71946

Prime Factorization of 71960

Now multiplying the highest exponent prime factors to calculate the LCM of 71946 and 71960.

LCM(71946,71960) = 2³ × 3² × 7¹ × 571¹ × 5¹ × 257¹
LCM(71946,71960) = 369802440