What is the Least Common Multiple of 71958 and 71965?

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 71958 and 71965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71958 and 71965, than apply into the LCM equation.

GCF(71958,71965) = 1
LCM(71958,71965) = ( 71958 × 71965) / 1
LCM(71958,71965) = 5178457470 / 1
LCM(71958,71965) = 5178457470

Least Common Multiple (LCM) of 71958 and 71965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71958 and 71965. First we will calculate the prime factors of 71958 and 71965.

Prime Factorization of 71958

Prime Factorization of 71965

Now multiplying the highest exponent prime factors to calculate the LCM of 71958 and 71965.

LCM(71958,71965) = 2¹ × 3¹ × 67¹ × 179¹ × 5¹ × 37¹ × 389¹
LCM(71958,71965) = 5178457470