What is the Least Common Multiple of 87780 and 87792?

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 87780 and 87792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87780 and 87792, than apply into the LCM equation.

GCF(87780,87792) = 12
LCM(87780,87792) = ( 87780 × 87792) / 12
LCM(87780,87792) = 7706381760 / 12
LCM(87780,87792) = 642198480

Least Common Multiple (LCM) of 87780 and 87792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87780 and 87792. First we will calculate the prime factors of 87780 and 87792.

Prime Factorization of 87780

Prime Factorization of 87792

Now multiplying the highest exponent prime factors to calculate the LCM of 87780 and 87792.

LCM(87780,87792) = 2⁴ × 3¹ × 5¹ × 7¹ × 11¹ × 19¹ × 31¹ × 59¹
LCM(87780,87792) = 642198480