What is the Least Common Multiple of 77520 and 77532?

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 77520 and 77532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77520 and 77532, than apply into the LCM equation.

GCF(77520,77532) = 12
LCM(77520,77532) = ( 77520 × 77532) / 12
LCM(77520,77532) = 6010280640 / 12
LCM(77520,77532) = 500856720

Least Common Multiple (LCM) of 77520 and 77532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77520 and 77532. First we will calculate the prime factors of 77520 and 77532.

Prime Factorization of 77520

Prime Factorization of 77532

Now multiplying the highest exponent prime factors to calculate the LCM of 77520 and 77532.

LCM(77520,77532) = 2⁴ × 3¹ × 5¹ × 17¹ × 19¹ × 7¹ × 13¹ × 71¹
LCM(77520,77532) = 500856720