What is the Least Common Multiple of 55544 and 55548?
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 (LCM) of 55544 and 55548 is 771339528.
LCM(55544,55548) = 771339528
Least Common Multiple of 55544 and 55548 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55544 and 55548, than apply into the LCM equation.
GCF(55544,55548) = 4
LCM(55544,55548) = ( 55544 × 55548) / 4
LCM(55544,55548) = 3085358112 / 4
LCM(55544,55548) = 771339528
Least Common Multiple (LCM) of 55544 and 55548 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55544 and 55548. First we will calculate the prime factors of 55544 and 55548.
Prime Factorization of 55544
Prime factors of 55544 are 2, 53, 131. Prime factorization of 55544 in exponential form is:
55544 = 23 × 531 × 1311
Prime Factorization of 55548
Prime factors of 55548 are 2, 3, 1543. Prime factorization of 55548 in exponential form is:
55548 = 22 × 32 × 15431
Now multiplying the highest exponent prime factors to calculate the LCM of 55544 and 55548.
LCM(55544,55548) = 23 × 531 × 1311 × 32 × 15431
LCM(55544,55548) = 771339528
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