What is the Least Common Multiple of 19435 and 19450?

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 19435 and 19450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19435 and 19450, than apply into the LCM equation.

GCF(19435,19450) = 5
LCM(19435,19450) = ( 19435 × 19450) / 5
LCM(19435,19450) = 378010750 / 5
LCM(19435,19450) = 75602150

Least Common Multiple (LCM) of 19435 and 19450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19435 and 19450. First we will calculate the prime factors of 19435 and 19450.

Prime Factorization of 19435

Prime Factorization of 19450

Now multiplying the highest exponent prime factors to calculate the LCM of 19435 and 19450.

LCM(19435,19450) = 5² × 13² × 23¹ × 2¹ × 389¹
LCM(19435,19450) = 75602150