What is the Least Common Multiple of 67540 and 67552?

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 67540 and 67552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67540 and 67552, than apply into the LCM equation.

GCF(67540,67552) = 4
LCM(67540,67552) = ( 67540 × 67552) / 4
LCM(67540,67552) = 4562462080 / 4
LCM(67540,67552) = 1140615520

Least Common Multiple (LCM) of 67540 and 67552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67540 and 67552. First we will calculate the prime factors of 67540 and 67552.

Prime Factorization of 67540

Prime Factorization of 67552

Now multiplying the highest exponent prime factors to calculate the LCM of 67540 and 67552.

LCM(67540,67552) = 2⁵ × 5¹ × 11¹ × 307¹ × 2111¹
LCM(67540,67552) = 1140615520