What is the Least Common Multiple of 71488 and 71494?

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 71488 and 71494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71488 and 71494, than apply into the LCM equation.

GCF(71488,71494) = 2
LCM(71488,71494) = ( 71488 × 71494) / 2
LCM(71488,71494) = 5110963072 / 2
LCM(71488,71494) = 2555481536

Least Common Multiple (LCM) of 71488 and 71494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71488 and 71494. First we will calculate the prime factors of 71488 and 71494.

Prime Factorization of 71488

Prime Factorization of 71494

Now multiplying the highest exponent prime factors to calculate the LCM of 71488 and 71494.

LCM(71488,71494) = 2⁶ × 1117¹ × 35747¹
LCM(71488,71494) = 2555481536