What is the Least Common Multiple of 75140 and 75152?

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 75140 and 75152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75140 and 75152, than apply into the LCM equation.

GCF(75140,75152) = 4
LCM(75140,75152) = ( 75140 × 75152) / 4
LCM(75140,75152) = 5646921280 / 4
LCM(75140,75152) = 1411730320

Least Common Multiple (LCM) of 75140 and 75152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75140 and 75152. First we will calculate the prime factors of 75140 and 75152.

Prime Factorization of 75140

Prime Factorization of 75152

Now multiplying the highest exponent prime factors to calculate the LCM of 75140 and 75152.

LCM(75140,75152) = 2⁴ × 5¹ × 13¹ × 17² × 7¹ × 11¹ × 61¹
LCM(75140,75152) = 1411730320