What is the Least Common Multiple of 55261 and 55278?
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 55261 and 55278 is 3054717558.
LCM(55261,55278) = 3054717558
Least Common Multiple of 55261 and 55278 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55261 and 55278, than apply into the LCM equation.
GCF(55261,55278) = 1
LCM(55261,55278) = ( 55261 × 55278) / 1
LCM(55261,55278) = 3054717558 / 1
LCM(55261,55278) = 3054717558
Least Common Multiple (LCM) of 55261 and 55278 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55261 and 55278. First we will calculate the prime factors of 55261 and 55278.
Prime Factorization of 55261
Prime factors of 55261 are 73, 757. Prime factorization of 55261 in exponential form is:
55261 = 731 × 7571
Prime Factorization of 55278
Prime factors of 55278 are 2, 3, 37, 83. Prime factorization of 55278 in exponential form is:
55278 = 21 × 32 × 371 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 55261 and 55278.
LCM(55261,55278) = 731 × 7571 × 21 × 32 × 371 × 831
LCM(55261,55278) = 3054717558
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