What is the Least Common Multiple of 67109 and 67124?
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 67109 and 67124 is 4504624516.
LCM(67109,67124) = 4504624516
Least Common Multiple of 67109 and 67124 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67109 and 67124, than apply into the LCM equation.
GCF(67109,67124) = 1
LCM(67109,67124) = ( 67109 × 67124) / 1
LCM(67109,67124) = 4504624516 / 1
LCM(67109,67124) = 4504624516
Least Common Multiple (LCM) of 67109 and 67124 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67109 and 67124. First we will calculate the prime factors of 67109 and 67124.
Prime Factorization of 67109
Prime factors of 67109 are 7, 9587. Prime factorization of 67109 in exponential form is:
67109 = 71 × 95871
Prime Factorization of 67124
Prime factors of 67124 are 2, 97, 173. Prime factorization of 67124 in exponential form is:
67124 = 22 × 971 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 67109 and 67124.
LCM(67109,67124) = 71 × 95871 × 22 × 971 × 1731
LCM(67109,67124) = 4504624516
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