What is the Least Common Multiple of 1362 and 1370?

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 1362 and 1370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1362 and 1370, than apply into the LCM equation.

GCF(1362,1370) = 2
LCM(1362,1370) = ( 1362 × 1370) / 2
LCM(1362,1370) = 1865940 / 2
LCM(1362,1370) = 932970

Least Common Multiple (LCM) of 1362 and 1370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1362 and 1370. First we will calculate the prime factors of 1362 and 1370.

Prime Factorization of 1362

Prime Factorization of 1370

Now multiplying the highest exponent prime factors to calculate the LCM of 1362 and 1370.

LCM(1362,1370) = 2¹ × 3¹ × 227¹ × 5¹ × 137¹
LCM(1362,1370) = 932970