What is the Least Common Multiple of 67578 and 67588?

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 67578 and 67588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67578 and 67588, than apply into the LCM equation.

GCF(67578,67588) = 2
LCM(67578,67588) = ( 67578 × 67588) / 2
LCM(67578,67588) = 4567461864 / 2
LCM(67578,67588) = 2283730932

Least Common Multiple (LCM) of 67578 and 67588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67578 and 67588. First we will calculate the prime factors of 67578 and 67588.

Prime Factorization of 67578

Prime Factorization of 67588

Now multiplying the highest exponent prime factors to calculate the LCM of 67578 and 67588.

LCM(67578,67588) = 2² × 3¹ × 7¹ × 1609¹ × 61¹ × 277¹
LCM(67578,67588) = 2283730932