What is the Least Common Multiple of 92520 and 92540?

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 92520 and 92540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92520 and 92540, than apply into the LCM equation.

GCF(92520,92540) = 20
LCM(92520,92540) = ( 92520 × 92540) / 20
LCM(92520,92540) = 8561800800 / 20
LCM(92520,92540) = 428090040

Least Common Multiple (LCM) of 92520 and 92540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92520 and 92540. First we will calculate the prime factors of 92520 and 92540.

Prime Factorization of 92520

Prime Factorization of 92540

Now multiplying the highest exponent prime factors to calculate the LCM of 92520 and 92540.

LCM(92520,92540) = 2³ × 3² × 5¹ × 257¹ × 7¹ × 661¹
LCM(92520,92540) = 428090040