What is the Least Common Multiple of 35354 and 35373?

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 35354 and 35373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35354 and 35373, than apply into the LCM equation.

GCF(35354,35373) = 1
LCM(35354,35373) = ( 35354 × 35373) / 1
LCM(35354,35373) = 1250577042 / 1
LCM(35354,35373) = 1250577042

Least Common Multiple (LCM) of 35354 and 35373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35354 and 35373. First we will calculate the prime factors of 35354 and 35373.

Prime Factorization of 35354

Prime Factorization of 35373

Now multiplying the highest exponent prime factors to calculate the LCM of 35354 and 35373.

LCM(35354,35373) = 2¹ × 11¹ × 1607¹ × 3¹ × 13¹ × 907¹
LCM(35354,35373) = 1250577042