What is the Least Common Multiple of 35460 and 35479?

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 35460 and 35479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35460 and 35479, than apply into the LCM equation.

GCF(35460,35479) = 1
LCM(35460,35479) = ( 35460 × 35479) / 1
LCM(35460,35479) = 1258085340 / 1
LCM(35460,35479) = 1258085340

Least Common Multiple (LCM) of 35460 and 35479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35460 and 35479. First we will calculate the prime factors of 35460 and 35479.

Prime Factorization of 35460

Prime Factorization of 35479

Now multiplying the highest exponent prime factors to calculate the LCM of 35460 and 35479.

LCM(35460,35479) = 2² × 3² × 5¹ × 197¹ × 17¹ × 2087¹
LCM(35460,35479) = 1258085340