What is the Least Common Multiple of 55078 and 55092?
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 55078 and 55092 is 1517178588.
LCM(55078,55092) = 1517178588
Least Common Multiple of 55078 and 55092 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55078 and 55092, than apply into the LCM equation.
GCF(55078,55092) = 2
LCM(55078,55092) = ( 55078 × 55092) / 2
LCM(55078,55092) = 3034357176 / 2
LCM(55078,55092) = 1517178588
Least Common Multiple (LCM) of 55078 and 55092 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55078 and 55092. First we will calculate the prime factors of 55078 and 55092.
Prime Factorization of 55078
Prime factors of 55078 are 2, 27539. Prime factorization of 55078 in exponential form is:
55078 = 21 × 275391
Prime Factorization of 55092
Prime factors of 55092 are 2, 3, 4591. Prime factorization of 55092 in exponential form is:
55092 = 22 × 31 × 45911
Now multiplying the highest exponent prime factors to calculate the LCM of 55078 and 55092.
LCM(55078,55092) = 22 × 275391 × 31 × 45911
LCM(55078,55092) = 1517178588
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