What is the Least Common Multiple of 55548 and 55557?

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 55548 and 55557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55548 and 55557, than apply into the LCM equation.

GCF(55548,55557) = 9
LCM(55548,55557) = ( 55548 × 55557) / 9
LCM(55548,55557) = 3086080236 / 9
LCM(55548,55557) = 342897804

Least Common Multiple (LCM) of 55548 and 55557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55548 and 55557. First we will calculate the prime factors of 55548 and 55557.

Prime Factorization of 55548

Prime Factorization of 55557

Now multiplying the highest exponent prime factors to calculate the LCM of 55548 and 55557.

LCM(55548,55557) = 2² × 3² × 1543¹ × 6173¹
LCM(55548,55557) = 342897804