What is the Least Common Multiple of 35758 and 35776?

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 35758 and 35776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35758 and 35776, than apply into the LCM equation.

GCF(35758,35776) = 2
LCM(35758,35776) = ( 35758 × 35776) / 2
LCM(35758,35776) = 1279278208 / 2
LCM(35758,35776) = 639639104

Least Common Multiple (LCM) of 35758 and 35776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35758 and 35776. First we will calculate the prime factors of 35758 and 35776.

Prime Factorization of 35758

Prime Factorization of 35776

Now multiplying the highest exponent prime factors to calculate the LCM of 35758 and 35776.

LCM(35758,35776) = 2⁶ × 19¹ × 941¹ × 13¹ × 43¹
LCM(35758,35776) = 639639104