What is the Least Common Multiple of 47812 and 47818?
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 47812 and 47818 is 1143137108.
LCM(47812,47818) = 1143137108
Least Common Multiple of 47812 and 47818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47812 and 47818, than apply into the LCM equation.
GCF(47812,47818) = 2
LCM(47812,47818) = ( 47812 × 47818) / 2
LCM(47812,47818) = 2286274216 / 2
LCM(47812,47818) = 1143137108
Least Common Multiple (LCM) of 47812 and 47818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47812 and 47818. First we will calculate the prime factors of 47812 and 47818.
Prime Factorization of 47812
Prime factors of 47812 are 2, 11953. Prime factorization of 47812 in exponential form is:
47812 = 22 × 119531
Prime Factorization of 47818
Prime factors of 47818 are 2, 23909. Prime factorization of 47818 in exponential form is:
47818 = 21 × 239091
Now multiplying the highest exponent prime factors to calculate the LCM of 47812 and 47818.
LCM(47812,47818) = 22 × 119531 × 239091
LCM(47812,47818) = 1143137108
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