What is the Least Common Multiple of 63534 and 63552?

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 63534 and 63552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63534 and 63552, than apply into the LCM equation.

GCF(63534,63552) = 6
LCM(63534,63552) = ( 63534 × 63552) / 6
LCM(63534,63552) = 4037712768 / 6
LCM(63534,63552) = 672952128

Least Common Multiple (LCM) of 63534 and 63552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63534 and 63552. First we will calculate the prime factors of 63534 and 63552.

Prime Factorization of 63534

Prime Factorization of 63552

Now multiplying the highest exponent prime factors to calculate the LCM of 63534 and 63552.

LCM(63534,63552) = 2⁶ × 3¹ × 10589¹ × 331¹
LCM(63534,63552) = 672952128