What is the Least Common Multiple of 4701 and 4705?
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 4701 and 4705 is 22118205.
LCM(4701,4705) = 22118205
Least Common Multiple of 4701 and 4705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4701 and 4705, than apply into the LCM equation.
GCF(4701,4705) = 1
LCM(4701,4705) = ( 4701 × 4705) / 1
LCM(4701,4705) = 22118205 / 1
LCM(4701,4705) = 22118205
Least Common Multiple (LCM) of 4701 and 4705 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4701 and 4705. First we will calculate the prime factors of 4701 and 4705.
Prime Factorization of 4701
Prime factors of 4701 are 3, 1567. Prime factorization of 4701 in exponential form is:
4701 = 31 × 15671
Prime Factorization of 4705
Prime factors of 4705 are 5, 941. Prime factorization of 4705 in exponential form is:
4705 = 51 × 9411
Now multiplying the highest exponent prime factors to calculate the LCM of 4701 and 4705.
LCM(4701,4705) = 31 × 15671 × 51 × 9411
LCM(4701,4705) = 22118205
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