What is the Least Common Multiple of 34415 and 34420?

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 34415 and 34420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34415 and 34420, than apply into the LCM equation.

GCF(34415,34420) = 5
LCM(34415,34420) = ( 34415 × 34420) / 5
LCM(34415,34420) = 1184564300 / 5
LCM(34415,34420) = 236912860

Least Common Multiple (LCM) of 34415 and 34420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34415 and 34420. First we will calculate the prime factors of 34415 and 34420.

Prime Factorization of 34415

Prime Factorization of 34420

Now multiplying the highest exponent prime factors to calculate the LCM of 34415 and 34420.

LCM(34415,34420) = 5¹ × 6883¹ × 2² × 1721¹
LCM(34415,34420) = 236912860