What is the Least Common Multiple of 49557 and 49570?
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 49557 and 49570 is 2456540490.
LCM(49557,49570) = 2456540490
Least Common Multiple of 49557 and 49570 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49557 and 49570, than apply into the LCM equation.
GCF(49557,49570) = 1
LCM(49557,49570) = ( 49557 × 49570) / 1
LCM(49557,49570) = 2456540490 / 1
LCM(49557,49570) = 2456540490
Least Common Multiple (LCM) of 49557 and 49570 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49557 and 49570. First we will calculate the prime factors of 49557 and 49570.
Prime Factorization of 49557
Prime factors of 49557 are 3, 16519. Prime factorization of 49557 in exponential form is:
49557 = 31 × 165191
Prime Factorization of 49570
Prime factors of 49570 are 2, 5, 4957. Prime factorization of 49570 in exponential form is:
49570 = 21 × 51 × 49571
Now multiplying the highest exponent prime factors to calculate the LCM of 49557 and 49570.
LCM(49557,49570) = 31 × 165191 × 21 × 51 × 49571
LCM(49557,49570) = 2456540490
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