What is the Least Common Multiple of 29962 and 29968?

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 29962 and 29968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29962 and 29968, than apply into the LCM equation.

GCF(29962,29968) = 2
LCM(29962,29968) = ( 29962 × 29968) / 2
LCM(29962,29968) = 897901216 / 2
LCM(29962,29968) = 448950608

Least Common Multiple (LCM) of 29962 and 29968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29962 and 29968. First we will calculate the prime factors of 29962 and 29968.

Prime Factorization of 29962

Prime Factorization of 29968

Now multiplying the highest exponent prime factors to calculate the LCM of 29962 and 29968.

LCM(29962,29968) = 2⁴ × 71¹ × 211¹ × 1873¹
LCM(29962,29968) = 448950608