What is the Least Common Multiple of 60435 and 60452?

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 60435 and 60452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60435 and 60452, than apply into the LCM equation.

GCF(60435,60452) = 17
LCM(60435,60452) = ( 60435 × 60452) / 17
LCM(60435,60452) = 3653416620 / 17
LCM(60435,60452) = 214906860

Least Common Multiple (LCM) of 60435 and 60452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60435 and 60452. First we will calculate the prime factors of 60435 and 60452.

Prime Factorization of 60435

Prime Factorization of 60452

Now multiplying the highest exponent prime factors to calculate the LCM of 60435 and 60452.

LCM(60435,60452) = 3² × 5¹ × 17¹ × 79¹ × 2² × 7¹ × 127¹
LCM(60435,60452) = 214906860