What is the Least Common Multiple of 54760 and 54778?
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 54778 is 1499821640.
LCM(54760,54778) = 1499821640
Least Common Multiple of 54760 and 54778 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 54778, than apply into the LCM equation.
GCF(54760,54778) = 2
LCM(54760,54778) = ( 54760 × 54778) / 2
LCM(54760,54778) = 2999643280 / 2
LCM(54760,54778) = 1499821640
Least Common Multiple (LCM) of 54760 and 54778 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54760 and 54778. First we will calculate the prime factors of 54760 and 54778.
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 54778
Prime factors of 54778 are 2, 61, 449. Prime factorization of 54778 in exponential form is:
54778 = 21 × 611 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 54760 and 54778.
LCM(54760,54778) = 23 × 51 × 372 × 611 × 4491
LCM(54760,54778) = 1499821640
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