What is the Least Common Multiple of 67952 and 67968?

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 67952 and 67968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67952 and 67968, than apply into the LCM equation.

GCF(67952,67968) = 16
LCM(67952,67968) = ( 67952 × 67968) / 16
LCM(67952,67968) = 4618561536 / 16
LCM(67952,67968) = 288660096

Least Common Multiple (LCM) of 67952 and 67968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67952 and 67968. First we will calculate the prime factors of 67952 and 67968.

Prime Factorization of 67952

Prime Factorization of 67968

Now multiplying the highest exponent prime factors to calculate the LCM of 67952 and 67968.

LCM(67952,67968) = 2⁷ × 31¹ × 137¹ × 3² × 59¹
LCM(67952,67968) = 288660096