What is the Least Common Multiple of 73322 and 73326?
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 73322 and 73326 is 2688204486.
LCM(73322,73326) = 2688204486
Least Common Multiple of 73322 and 73326 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73322 and 73326, than apply into the LCM equation.
GCF(73322,73326) = 2
LCM(73322,73326) = ( 73322 × 73326) / 2
LCM(73322,73326) = 5376408972 / 2
LCM(73322,73326) = 2688204486
Least Common Multiple (LCM) of 73322 and 73326 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 73322 and 73326. First we will calculate the prime factors of 73322 and 73326.
Prime Factorization of 73322
Prime factors of 73322 are 2, 61, 601. Prime factorization of 73322 in exponential form is:
73322 = 21 × 611 × 6011
Prime Factorization of 73326
Prime factors of 73326 are 2, 3, 11, 101. Prime factorization of 73326 in exponential form is:
73326 = 21 × 31 × 112 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 73322 and 73326.
LCM(73322,73326) = 21 × 611 × 6011 × 31 × 112 × 1011
LCM(73322,73326) = 2688204486
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