What is the Least Common Multiple of 71984 and 72002?

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 71984 and 72002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71984 and 72002, than apply into the LCM equation.

GCF(71984,72002) = 2
LCM(71984,72002) = ( 71984 × 72002) / 2
LCM(71984,72002) = 5182991968 / 2
LCM(71984,72002) = 2591495984

Least Common Multiple (LCM) of 71984 and 72002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71984 and 72002. First we will calculate the prime factors of 71984 and 72002.

Prime Factorization of 71984

Prime Factorization of 72002

Now multiplying the highest exponent prime factors to calculate the LCM of 71984 and 72002.

LCM(71984,72002) = 2⁴ × 11¹ × 409¹ × 7¹ × 37¹ × 139¹
LCM(71984,72002) = 2591495984