What is the Least Common Multiple of 37968 and 37973?

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 37968 and 37973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37968 and 37973, than apply into the LCM equation.

GCF(37968,37973) = 1
LCM(37968,37973) = ( 37968 × 37973) / 1
LCM(37968,37973) = 1441758864 / 1
LCM(37968,37973) = 1441758864

Least Common Multiple (LCM) of 37968 and 37973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37968 and 37973. First we will calculate the prime factors of 37968 and 37973.

Prime Factorization of 37968

Prime Factorization of 37973

Now multiplying the highest exponent prime factors to calculate the LCM of 37968 and 37973.

LCM(37968,37973) = 2⁴ × 3¹ × 7¹ × 113¹ × 13¹ × 23¹ × 127¹
LCM(37968,37973) = 1441758864