What is the Least Common Multiple of 35814 and 35820?

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 35814 and 35820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35814 and 35820, than apply into the LCM equation.

GCF(35814,35820) = 6
LCM(35814,35820) = ( 35814 × 35820) / 6
LCM(35814,35820) = 1282857480 / 6
LCM(35814,35820) = 213809580

Least Common Multiple (LCM) of 35814 and 35820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35814 and 35820. First we will calculate the prime factors of 35814 and 35820.

Prime Factorization of 35814

Prime Factorization of 35820

Now multiplying the highest exponent prime factors to calculate the LCM of 35814 and 35820.

LCM(35814,35820) = 2² × 3² × 47¹ × 127¹ × 5¹ × 199¹
LCM(35814,35820) = 213809580