What is the Least Common Multiple of 55110 and 55124?
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 55110 and 55124 is 1518941820.
LCM(55110,55124) = 1518941820
Least Common Multiple of 55110 and 55124 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55110 and 55124, than apply into the LCM equation.
GCF(55110,55124) = 2
LCM(55110,55124) = ( 55110 × 55124) / 2
LCM(55110,55124) = 3037883640 / 2
LCM(55110,55124) = 1518941820
Least Common Multiple (LCM) of 55110 and 55124 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55110 and 55124. First we will calculate the prime factors of 55110 and 55124.
Prime Factorization of 55110
Prime factors of 55110 are 2, 3, 5, 11, 167. Prime factorization of 55110 in exponential form is:
55110 = 21 × 31 × 51 × 111 × 1671
Prime Factorization of 55124
Prime factors of 55124 are 2, 13781. Prime factorization of 55124 in exponential form is:
55124 = 22 × 137811
Now multiplying the highest exponent prime factors to calculate the LCM of 55110 and 55124.
LCM(55110,55124) = 22 × 31 × 51 × 111 × 1671 × 137811
LCM(55110,55124) = 1518941820
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