What is the Least Common Multiple of 78121 and 78134?
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 78121 and 78134 is 6103906214.
LCM(78121,78134) = 6103906214
Least Common Multiple of 78121 and 78134 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78121 and 78134, than apply into the LCM equation.
GCF(78121,78134) = 1
LCM(78121,78134) = ( 78121 × 78134) / 1
LCM(78121,78134) = 6103906214 / 1
LCM(78121,78134) = 6103906214
Least Common Multiple (LCM) of 78121 and 78134 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78121 and 78134. First we will calculate the prime factors of 78121 and 78134.
Prime Factorization of 78121
Prime factors of 78121 are 78121. Prime factorization of 78121 in exponential form is:
78121 = 781211
Prime Factorization of 78134
Prime factors of 78134 are 2, 7, 5581. Prime factorization of 78134 in exponential form is:
78134 = 21 × 71 × 55811
Now multiplying the highest exponent prime factors to calculate the LCM of 78121 and 78134.
LCM(78121,78134) = 781211 × 21 × 71 × 55811
LCM(78121,78134) = 6103906214
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