What is the Least Common Multiple of 1428 and 1435?

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 1428 and 1435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1428 and 1435, than apply into the LCM equation.

GCF(1428,1435) = 7
LCM(1428,1435) = ( 1428 × 1435) / 7
LCM(1428,1435) = 2049180 / 7
LCM(1428,1435) = 292740

Least Common Multiple (LCM) of 1428 and 1435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1428 and 1435. First we will calculate the prime factors of 1428 and 1435.

Prime Factorization of 1428

Prime Factorization of 1435

Now multiplying the highest exponent prime factors to calculate the LCM of 1428 and 1435.

LCM(1428,1435) = 2² × 3¹ × 7¹ × 17¹ × 5¹ × 41¹
LCM(1428,1435) = 292740