What is the Least Common Multiple of 60480 and 60497?

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 60480 and 60497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60480 and 60497, than apply into the LCM equation.

GCF(60480,60497) = 1
LCM(60480,60497) = ( 60480 × 60497) / 1
LCM(60480,60497) = 3658858560 / 1
LCM(60480,60497) = 3658858560

Least Common Multiple (LCM) of 60480 and 60497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60480 and 60497. First we will calculate the prime factors of 60480 and 60497.

Prime Factorization of 60480

Prime Factorization of 60497

Now multiplying the highest exponent prime factors to calculate the LCM of 60480 and 60497.

LCM(60480,60497) = 2⁶ × 3³ × 5¹ × 7¹ × 60497¹
LCM(60480,60497) = 3658858560