What is the Least Common Multiple of 67449 and 67455?

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 67449 and 67455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67449 and 67455, than apply into the LCM equation.

GCF(67449,67455) = 3
LCM(67449,67455) = ( 67449 × 67455) / 3
LCM(67449,67455) = 4549772295 / 3
LCM(67449,67455) = 1516590765

Least Common Multiple (LCM) of 67449 and 67455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67449 and 67455. First we will calculate the prime factors of 67449 and 67455.

Prime Factorization of 67449

Prime Factorization of 67455

Now multiplying the highest exponent prime factors to calculate the LCM of 67449 and 67455.

LCM(67449,67455) = 3² × 22483¹ × 5¹ × 1499¹
LCM(67449,67455) = 1516590765