What is the Least Common Multiple of 4851 and 4855?
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 4851 and 4855 is 23551605.
LCM(4851,4855) = 23551605
Least Common Multiple of 4851 and 4855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4851 and 4855, than apply into the LCM equation.
GCF(4851,4855) = 1
LCM(4851,4855) = ( 4851 × 4855) / 1
LCM(4851,4855) = 23551605 / 1
LCM(4851,4855) = 23551605
Least Common Multiple (LCM) of 4851 and 4855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4851 and 4855. First we will calculate the prime factors of 4851 and 4855.
Prime Factorization of 4851
Prime factors of 4851 are 3, 7, 11. Prime factorization of 4851 in exponential form is:
4851 = 32 × 72 × 111
Prime Factorization of 4855
Prime factors of 4855 are 5, 971. Prime factorization of 4855 in exponential form is:
4855 = 51 × 9711
Now multiplying the highest exponent prime factors to calculate the LCM of 4851 and 4855.
LCM(4851,4855) = 32 × 72 × 111 × 51 × 9711
LCM(4851,4855) = 23551605
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