What is the Least Common Multiple of 35921 and 35938?

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 35921 and 35938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35921 and 35938, than apply into the LCM equation.

GCF(35921,35938) = 17
LCM(35921,35938) = ( 35921 × 35938) / 17
LCM(35921,35938) = 1290928898 / 17
LCM(35921,35938) = 75936994

Least Common Multiple (LCM) of 35921 and 35938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35921 and 35938. First we will calculate the prime factors of 35921 and 35938.

Prime Factorization of 35921

Prime Factorization of 35938

Now multiplying the highest exponent prime factors to calculate the LCM of 35921 and 35938.

LCM(35921,35938) = 17¹ × 2113¹ × 2¹ × 7¹ × 151¹
LCM(35921,35938) = 75936994