What is the Least Common Multiple of 73101 and 73109?
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 73101 and 73109 is 5344341009.
LCM(73101,73109) = 5344341009
Least Common Multiple of 73101 and 73109 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73101 and 73109, than apply into the LCM equation.
GCF(73101,73109) = 1
LCM(73101,73109) = ( 73101 × 73109) / 1
LCM(73101,73109) = 5344341009 / 1
LCM(73101,73109) = 5344341009
Least Common Multiple (LCM) of 73101 and 73109 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 73101 and 73109. First we will calculate the prime factors of 73101 and 73109.
Prime Factorization of 73101
Prime factors of 73101 are 3, 7, 59. Prime factorization of 73101 in exponential form is:
73101 = 31 × 71 × 592
Prime Factorization of 73109
Prime factors of 73109 are 29, 2521. Prime factorization of 73109 in exponential form is:
73109 = 291 × 25211
Now multiplying the highest exponent prime factors to calculate the LCM of 73101 and 73109.
LCM(73101,73109) = 31 × 71 × 592 × 291 × 25211
LCM(73101,73109) = 5344341009
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