What is the Least Common Multiple of 53763 and 53778?

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 53763 and 53778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53763 and 53778, than apply into the LCM equation.

GCF(53763,53778) = 3
LCM(53763,53778) = ( 53763 × 53778) / 3
LCM(53763,53778) = 2891266614 / 3
LCM(53763,53778) = 963755538

Least Common Multiple (LCM) of 53763 and 53778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53763 and 53778. First we will calculate the prime factors of 53763 and 53778.

Prime Factorization of 53763

Prime Factorization of 53778

Now multiplying the highest exponent prime factors to calculate the LCM of 53763 and 53778.

LCM(53763,53778) = 3¹ × 17921¹ × 2¹ × 8963¹
LCM(53763,53778) = 963755538