What is the Least Common Multiple of 35235 and 35252?

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 35235 and 35252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35235 and 35252, than apply into the LCM equation.

GCF(35235,35252) = 1
LCM(35235,35252) = ( 35235 × 35252) / 1
LCM(35235,35252) = 1242104220 / 1
LCM(35235,35252) = 1242104220

Least Common Multiple (LCM) of 35235 and 35252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35235 and 35252. First we will calculate the prime factors of 35235 and 35252.

Prime Factorization of 35235

Prime Factorization of 35252

Now multiplying the highest exponent prime factors to calculate the LCM of 35235 and 35252.

LCM(35235,35252) = 3⁵ × 5¹ × 29¹ × 2² × 7¹ × 1259¹
LCM(35235,35252) = 1242104220