What is the Least Common Multiple of 4881 and 4895?
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 4881 and 4895 is 23892495.
LCM(4881,4895) = 23892495
Least Common Multiple of 4881 and 4895 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4881 and 4895, than apply into the LCM equation.
GCF(4881,4895) = 1
LCM(4881,4895) = ( 4881 × 4895) / 1
LCM(4881,4895) = 23892495 / 1
LCM(4881,4895) = 23892495
Least Common Multiple (LCM) of 4881 and 4895 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4881 and 4895. First we will calculate the prime factors of 4881 and 4895.
Prime Factorization of 4881
Prime factors of 4881 are 3, 1627. Prime factorization of 4881 in exponential form is:
4881 = 31 × 16271
Prime Factorization of 4895
Prime factors of 4895 are 5, 11, 89. Prime factorization of 4895 in exponential form is:
4895 = 51 × 111 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 4881 and 4895.
LCM(4881,4895) = 31 × 16271 × 51 × 111 × 891
LCM(4881,4895) = 23892495
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