What is the Least Common Multiple of 61457 and 61463?

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 61457 and 61463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61457 and 61463, than apply into the LCM equation.

GCF(61457,61463) = 1
LCM(61457,61463) = ( 61457 × 61463) / 1
LCM(61457,61463) = 3777331591 / 1
LCM(61457,61463) = 3777331591

Least Common Multiple (LCM) of 61457 and 61463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61457 and 61463. First we will calculate the prime factors of 61457 and 61463.

Prime Factorization of 61457

Prime Factorization of 61463

Now multiplying the highest exponent prime factors to calculate the LCM of 61457 and 61463.

LCM(61457,61463) = 11¹ × 37¹ × 151¹ × 61463¹
LCM(61457,61463) = 3777331591