What is the Least Common Multiple of 55438 and 55446?
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 55438 and 55446 is 1536907674.
LCM(55438,55446) = 1536907674
Least Common Multiple of 55438 and 55446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55438 and 55446, than apply into the LCM equation.
GCF(55438,55446) = 2
LCM(55438,55446) = ( 55438 × 55446) / 2
LCM(55438,55446) = 3073815348 / 2
LCM(55438,55446) = 1536907674
Least Common Multiple (LCM) of 55438 and 55446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55438 and 55446. First we will calculate the prime factors of 55438 and 55446.
Prime Factorization of 55438
Prime factors of 55438 are 2, 53, 523. Prime factorization of 55438 in exponential form is:
55438 = 21 × 531 × 5231
Prime Factorization of 55446
Prime factors of 55446 are 2, 3, 9241. Prime factorization of 55446 in exponential form is:
55446 = 21 × 31 × 92411
Now multiplying the highest exponent prime factors to calculate the LCM of 55438 and 55446.
LCM(55438,55446) = 21 × 531 × 5231 × 31 × 92411
LCM(55438,55446) = 1536907674
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