What is the Least Common Multiple of 71940 and 71958?

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 71940 and 71958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71940 and 71958, than apply into the LCM equation.

GCF(71940,71958) = 6
LCM(71940,71958) = ( 71940 × 71958) / 6
LCM(71940,71958) = 5176658520 / 6
LCM(71940,71958) = 862776420

Least Common Multiple (LCM) of 71940 and 71958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71940 and 71958. First we will calculate the prime factors of 71940 and 71958.

Prime Factorization of 71940

Prime Factorization of 71958

Now multiplying the highest exponent prime factors to calculate the LCM of 71940 and 71958.

LCM(71940,71958) = 2² × 3¹ × 5¹ × 11¹ × 109¹ × 67¹ × 179¹
LCM(71940,71958) = 862776420