What is the Least Common Multiple of 54760 and 54770?
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 54760 and 54770 is 299920520.
LCM(54760,54770) = 299920520
Least Common Multiple of 54760 and 54770 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54760 and 54770, than apply into the LCM equation.
GCF(54760,54770) = 10
LCM(54760,54770) = ( 54760 × 54770) / 10
LCM(54760,54770) = 2999205200 / 10
LCM(54760,54770) = 299920520
Least Common Multiple (LCM) of 54760 and 54770 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54760 and 54770. First we will calculate the prime factors of 54760 and 54770.
Prime Factorization of 54760
Prime factors of 54760 are 2, 5, 37. Prime factorization of 54760 in exponential form is:
54760 = 23 × 51 × 372
Prime Factorization of 54770
Prime factors of 54770 are 2, 5, 5477. Prime factorization of 54770 in exponential form is:
54770 = 21 × 51 × 54771
Now multiplying the highest exponent prime factors to calculate the LCM of 54760 and 54770.
LCM(54760,54770) = 23 × 51 × 372 × 54771
LCM(54760,54770) = 299920520
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