What is the Least Common Multiple of 35510 and 35528?

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 35510 and 35528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35510 and 35528, than apply into the LCM equation.

GCF(35510,35528) = 2
LCM(35510,35528) = ( 35510 × 35528) / 2
LCM(35510,35528) = 1261599280 / 2
LCM(35510,35528) = 630799640

Least Common Multiple (LCM) of 35510 and 35528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35510 and 35528. First we will calculate the prime factors of 35510 and 35528.

Prime Factorization of 35510

Prime Factorization of 35528

Now multiplying the highest exponent prime factors to calculate the LCM of 35510 and 35528.

LCM(35510,35528) = 2³ × 5¹ × 53¹ × 67¹ × 4441¹
LCM(35510,35528) = 630799640